Answer:
18.8 m²
Explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . . . r is radius, θ is the central angle in radians
To convert an angle in degrees to one in radians, multiply by π/180°.
Your 135° sector has an area of ...
A = (1/2)(4 m)²(135°)(π/180°) = 6π m²
A ≈ 18.8 m²